LCM of 104, 596, 936, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 596, 936, 656 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 104, 596, 936, 656. So, keep reading to learn more.
Given numbers are 104,596,936,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,596,936,656 is 11436048.
Find LCM of 104,596,936,656 with Prime Factorization
| 2 | 104, 596, 936, 656 |
| 2 | 52, 298, 468, 328 |
| 2 | 26, 149, 234, 164 |
| 13 | 13, 149, 117, 82 |
| 1, 149, 9, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 1 x 149 x 9 x 82 = 11436048
Therefore, the lowest common multiple of 104,596,936,656 is 11436048.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
104 x 596 x 936 x 656 = 38059167744
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
104 : 1, 2, 4, 8, 13, 26, 52, 104
596 : 1, 2, 4, 149, 298, 596
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,596,936,656, is 4.
Now, the common factors can be found like this.
104:2x 2x 2x 13
596:2x 2x 149
936:2x 2x 2x 3x 3x 13
656:2x 2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 13 = 832
Therefore, the value for common factors is 832.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 38059167744/(4x832)
LCM = 38059167744/3328
LCM = 11436048
Thus, we can understand that the LCM of 104,596,936,656 is 11436048.
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FAQs on LCM of 104, 596, 936, 656
1. What is the LCM of 104, 596, 936, 656?
Answer: LCM of 104, 596, 936, 656 is 11436048.
2. How to calculate the LCM of 104, 596, 936, 656?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 104, 596, 936, 656.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.